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I have posted a link there to this topic so the OP can see my work.Area between curves problem I cannot get?

I can't get the right answer to this problem. Can someone show it to me?

It's:

Sketch the region enclosed by the curves given below. Decide whether to integrate with respect to x or y. Then find the area of the region.

The curves are

2y = 3sqrt(x)

y=4

2y + 4x = 7

I am integrating with respect to y since y=4 was given, but my webwork keeps saying my answer is wrong. Someone please help.